A stability analysis for interfacial waves using a Zakharov equation

DOI10.1017/S0022112090000106zbMath0698.76057OpenAlexW2111382922MaRDI QIDQ3476466

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Publication date: 1990

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112090000106

zbMATH Keywords

Kelvin-Helmholtz instabilityinstabilitiesamplitude equationZakharov equationBoussinesq parameterperturbation wavenumbersrigid upper and lower boundarieswave-induced jumpweak interactions of waves

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Two-dimensional stability analysis of finite-amplitude interfacial gravity waves in a two-layer fluid ⋮ Resonant capillary–gravity interfacial waves ⋮ Geometric Aspects of Spatially Periodic Interfacial Waves ⋮ Non local Models for Envelope Waves in a Stratified Fluid ⋮ Stability of capillary–gravity interfacial waves between two bounded fluids ⋮ Modulational instabilities of periodic traveling waves in deep water

Cites Work

• Nonlinear interfacial progressive waves near a boundary in a Boussinesq fluid
• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• On modifications of the Zakharov equation for surface gravity waves
• Interfacial progressive gravity waves in a two-layer shear flow
• Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilities
• Large amplitude progressive interfacial waves
• Stability of weakly nonlinear deep-water waves in two and three dimensions
• Wave interactions - the evolution of an idea
• Instabilities of finite-amplitude water waves
• Instabilities of finite-amplitude gravity waves on water of finite depth
• Finite-amplitude interfacial waves in the presence of a current
• Stability of finite-amplitude interfacial waves. Part 1. Modulational instability for small-amplitude waves
• Non-linear dispersion of water waves
• Resonant gravity-wave interactions in a shear flow

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